61836192 has 144 divisors (see below), whose sum is σ = 194594400. Its totient is φ = 18470400.

The previous prime is 61836163. The next prime is 61836211. The reversal of 61836192 is 29163816.

61836192 is a `hidden beast` number, since 618 + 36 + 1 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414934 + ... + 415082.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350).

Almost surely, 2^61836192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61836192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97297200).

61836192 is an abundant number, since it is smaller than the sum of its proper divisors (132758208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61836192 is a wasteful number, since it uses less digits than its factorization.

61836192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 61836192 is about 7863.5991759499. The cubic root of 61836192 is about 395.4402867053.

The spelling of 61836192 in words is "sixty-one million, eight hundred thirty-six thousand, one hundred ninety-two".